Improvement of Topology Optimization Method Based on Level Set Function in Magnetic Field Problem
Improvement of Topology Optimization Method Based on Level Set Function in Magnetic Field Problem
复制标题
磁场问题中基于水平集函数的拓扑优化方法的改进
DOI：
10.1108/compel-12-2016-0528
复制
发表时间：
2018
期刊：
影响因子：
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通讯作者：
and Shinji Wakao
中科院分区：
文献类型：
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作者：
Yoshifumi Okamoto;Hiroshi Masuda;Yutaro Kanda;Reona Hoshino;and Shinji Wakao
目的对拓扑优化算法进行改进。本文的范围是集中在优化的加速。设计/方法/途径为了实现加速，移动渐近线（MMA）与水平集函数的约束条件的方法，而不是求解Hamilton-Jacobi方程。发现目标函数的收敛速度大大提高了MMA的实施。独创性/价值通常，水平集方法通过Hamilton-Jacobi方程求解。然而，引入数学规划的可能性是明确的约束条件。此外，所提出的方法是适合于有效地解决磁场系统的拓扑优化问题。
PurposeThe purpose of this paper is the improvement of topology optimization. The scope of the paper is focused on the speedup of optimization.Design/methodology/approachTo achieve the speedup, the method of moving asymptotes (MMA) with constrained condition of level set function is applied instead of solving the Hamilton–Jacobi equation.FindingsThe acceleration of convergence of objective function is drastically improved by the implementation of MMA.Originality/valueNormally, the level set method is solved through the Hamilton–Jacobi equation. However, the possibility of introducing mathematical programming is clear by the constrained condition. Furthermore, the proposed method is suitable for efficiently solving the topology optimization problem in the magnetic field system.